Atkin-Lehner |
3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113715bh |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
441600 |
Modular degree for the optimal curve |
Δ |
-16078803496875 = -1 · 37 · 55 · 73 · 193 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -2 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1767,195030] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-428:1] [-57:332:1] |
Generators of the group modulo torsion |
j |
-122023936/3215625 |
j-invariant |
L |
6.4579805346319 |
L(r)(E,1)/r! |
Ω |
0.58319548544007 |
Real period |
R |
0.092278671216123 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999283 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37905n1 113715bg1 |
Quadratic twists by: -3 -19 |